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Finding the Fourth Proportional to 22,308, 30,784.80 and 12,236.70

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Solution

The fourth proportional to 22,308, 30,784.80 and 12,236.70 is: 16,886.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308 : 30,784.80 = 12,236.70 : x
  2. Step 2: Convert to fraction form
    22,308/30,784.80 = 12,236.70/x
  3. Step 3: Cross multiply
    22,308x = 30,784.80 × 12,236.70
  4. Step 4: Simplify right side
    22,308x = 376,704,362.16
  5. Step 5: Solve for x
    x = 376,704,362.16/22,308
  6. Step 6: Final answer
    x = 16,886.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.